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Finding the Fourth Proportional to 5,584.50, 7,721.01 and 5,339.70

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Solution

The fourth proportional to 5,584.50, 7,721.01 and 5,339.70 is: 7,382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.50 : 7,721.01 = 5,339.70 : x
  2. Step 2: Convert to fraction form
    5,584.50/7,721.01 = 5,339.70/x
  3. Step 3: Cross multiply
    5,584.50x = 7,721.01 × 5,339.70
  4. Step 4: Simplify right side
    5,584.50x = 41,227,877.10
  5. Step 5: Solve for x
    x = 41,227,877.10/5,584.50
  6. Step 6: Final answer
    x = 7,382.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.